SATHEE: System of Particles and Rotational Motion

System of Particles and Rotational Motion - Result Question 57

61. The moment of inertia of a thin uniform rod of mass $M$ and length $L$ about an axis passing through its midpoint and perpendicular to its length is $I_{0}$ . Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is

(a) $I_{0} + M L^{2} / 2$

(b) $I_{0} + M L^{2} / 4$

(d) $I_{0} + M L^{2}$

[2011]

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Answer:

Correct Answer: 61. (b)

Solution:

(b) By theorem of parallel axes,

$I = I_{c m} + M d^{2}$

$I = I_{0} + M (L / 2)^{2} = I_{0} + M L^{2} / 4$

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System of Particles and Rotational Motion - Result Question 57

61. The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is I0. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is

Answer:

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61. The moment of inertia of a thin uniform rod of mass $M$ and length $L$ about an axis passing through its midpoint and perpendicular to its length is $I_{0}$ . Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is